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Simplifying 9(2n + 4) = 7(9n + 7) + 1 Reorder the terms: 9(4 + 2n) = 7(9n + 7) + 1 (4 * 9 + 2n * 9) = 7(9n + 7) + 1 (36 + 18n) = 7(9n + 7) + 1 Reorder the terms: 36 + 18n = 7(7 + 9n) + 1 36 + 18n = (7 * 7 + 9n * 7) + 1 36 + 18n = (49 + 63n) + 1 Reorder the terms: 36 + 18n = 49 + 1 + 63n Combine like terms: 49 + 1 = 50 36 + 18n = 50 + 63n Solving 36 + 18n = 50 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 36 + 18n + -63n = 50 + 63n + -63n Combine like terms: 18n + -63n = -45n 36 + -45n = 50 + 63n + -63n Combine like terms: 63n + -63n = 0 36 + -45n = 50 + 0 36 + -45n = 50 Add '-36' to each side of the equation. 36 + -36 + -45n = 50 + -36 Combine like terms: 36 + -36 = 0 0 + -45n = 50 + -36 -45n = 50 + -36 Combine like terms: 50 + -36 = 14 -45n = 14 Divide each side by '-45'. n = -0.3111111111 Simplifying n = -0.3111111111
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